Atkin-Lehner |
7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58667h |
Isogeny class |
Conductor |
58667 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2889216 |
Modular degree for the optimal curve |
Δ |
-4.0000720048235E+20 |
Discriminant |
Eigenvalues |
0 -3 0 7- 0 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,317900,-959782800] |
[a1,a2,a3,a4,a6] |
Generators |
[2448:-120369:1] |
Generators of the group modulo torsion |
j |
147197952000000/16571975433083 |
j-invariant |
L |
2.1440053097699 |
L(r)(E,1)/r! |
Ω |
0.079884722805694 |
Real period |
R |
0.60997136494033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451a1 |
Quadratic twists by: 17 |